Using Mathematica for Quantum Mechanics

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Author :
Publisher : Springer Nature
ISBN 13 : 9811375887
Total Pages : 193 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Using Mathematica for Quantum Mechanics by : Roman Schmied

Download or read book Using Mathematica for Quantum Mechanics written by Roman Schmied and published by Springer Nature. This book was released on 2019-09-28 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.

Using Mathematica for Quantum Mechanics

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Author :
Publisher : Springer
ISBN 13 : 9789811375903
Total Pages : 193 pages
Book Rating : 4.3/5 (759 download)

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Book Synopsis Using Mathematica for Quantum Mechanics by : Roman Schmied

Download or read book Using Mathematica for Quantum Mechanics written by Roman Schmied and published by Springer. This book was released on 2020-10-17 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.

Using Mathematica for Quantum Mechanics

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Author :
Publisher : Springer
ISBN 13 : 9789811375873
Total Pages : 0 pages
Book Rating : 4.3/5 (758 download)

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Book Synopsis Using Mathematica for Quantum Mechanics by : Roman Schmied

Download or read book Using Mathematica for Quantum Mechanics written by Roman Schmied and published by Springer. This book was released on 2019-10-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.

Mathematica for Theoretical Physics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387251138
Total Pages : 400 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mathematica for Theoretical Physics by : Gerd Baumann

Download or read book Mathematica for Theoretical Physics written by Gerd Baumann and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

Quantum Methods with Mathematica®

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387953656
Total Pages : 508 pages
Book Rating : 4.9/5 (536 download)

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Book Synopsis Quantum Methods with Mathematica® by : James F. Feagin

Download or read book Quantum Methods with Mathematica® written by James F. Feagin and published by Springer Science & Business Media. This book was released on 2002-01-08 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feagin's book was the first publication dealing with Quantum Mechanics using Mathematica, the popular software distributed by Wolfram Research, and designed to facilitate scientists and engineers to do difficult scientific computations more quickly and more easily. Quantum Methods with Mathematica, the first book of ist kind, has achieved worldwide success and critical acclaim.

Mathematica for Physics

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Author :
Publisher : Addison-Wesley
ISBN 13 :
Total Pages : 682 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Mathematica for Physics by : Robert L. Zimmerman

Download or read book Mathematica for Physics written by Robert L. Zimmerman and published by Addison-Wesley. This book was released on 2002 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: An appropriate supplement for any undergraduate or graduate course in physics, Mathematica ̈ for Physics uses the power of Mathematica ̈ to visualize and display physics concepts and generate numerical and graphical solutions to physics problems. Throughout the book, the complexity of both physics and Mathematica ̈ is systematically extended to broaden the range of problems that can be solved.

Quantum Mechanics for Mathematicians

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821846302
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quantum Mechanics for Mathematicians by : Leon Armenovich Takhtadzhi͡an

Download or read book Quantum Mechanics for Mathematicians written by Leon Armenovich Takhtadzhi͡an and published by American Mathematical Soc.. This book was released on 2008 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.

Lectures on Quantum Mechanics for Mathematics Students

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Publisher : American Mathematical Soc.
ISBN 13 : 082184699X
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Quantum Mechanics for Mathematics Students by : L. D. Faddeev

Download or read book Lectures on Quantum Mechanics for Mathematics Students written by L. D. Faddeev and published by American Mathematical Soc.. This book was released on 2009 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

Quantum Mechanics Using Computer Algebra

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Publisher : World Scientific
ISBN 13 : 9789810217709
Total Pages : 208 pages
Book Rating : 4.2/5 (177 download)

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Book Synopsis Quantum Mechanics Using Computer Algebra by : Willi-Hans Steeb

Download or read book Quantum Mechanics Using Computer Algebra written by Willi-Hans Steeb and published by World Scientific. This book was released on 1994 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving problems in quantum mechanics is an essential skill and research activity for scientists, engineers and others. Nowadays the labor of scientific computation has been greatly eased by the advent of computer algebra packages. These do not merely perform number-crunching tasks, but enable users to manipulate algebraic expressions and equations symbolically. For example, differentiation and integration can now be carried out algebraically by the computer.This book collects standard and advanced methods in quantum mechanics and implements them using REDUCE, a popular computer algebra package. Throughout, sample programs and their output have been displayed alongside explanatory text, making the book easy to follow. Selected problems have also been implemented using two other popular packages, MATHEMATICA and MAPLE, and in the object-oriented programming language C++.Besides standard quantum mechanical techniques, modern developments in quantum theory are also covered. These include Fermi and Bose Operators, coherent states, gauge theory and quantum groups. All the special functions relevant to quantum mechanics (Hermite, Chebyshev, Legendre and more) are implemented.The level of presentation is such that one can get a sound grasp of computational techniques early on in one's scientific education. A careful balance is struck between practical computation and the underlying mathematical concepts, making the book well-suited for use with quantum mechanics courses.

Quantum Mechanics Using Computer Algebra

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107898
Total Pages : 244 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Quantum Mechanics Using Computer Algebra by : Willi-Hans Steeb

Download or read book Quantum Mechanics Using Computer Algebra written by Willi-Hans Steeb and published by World Scientific Publishing Company. This book was released on 2010-03-24 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving problems in quantum mechanics is an essential skill and research activity for physicists, mathematicians, engineers and others. Nowadays, the labor of scientific computation has been greatly eased by the advent of computer algebra packages, which do not merely perform number crunching, but also enable users to manipulate algebraic expressions and equations symbolically. For example, the manipulations of noncommutative operators, differentiation and integration can now be carried out algebraically by the computer algebra package. This book collects standard and advanced methods in quantum mechanics and implements them using SymbolicC++ and Maxima, two popular computer algebra packages. Throughout, the sample programs and their outputs are accompanied with explanatory text of the underlying mathematics and physics explained in detail. Selected problems have also been implemented using two other popular packages — Mathematica and Maple — while some problems are implemented in C++. Modern developments in quantum theory are covered extensively, beyond the standard quantum mechanical techniques. The new research topics added to this second edition are: entanglement, teleportation, Berry phase, Morse oscillator, Magnus expansion, wavelets, Pauli and Clifford groups, coupled Bose–Fermi systems, super-Lie algebras, etc.

Quantum Mechanics in Matrix Form

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Author :
Publisher : Springer
ISBN 13 : 3319263668
Total Pages : 214 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Quantum Mechanics in Matrix Form by : Günter Ludyk

Download or read book Quantum Mechanics in Matrix Form written by Günter Ludyk and published by Springer. This book was released on 2017-10-25 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to quantum mechanics with the matrix method. Heisenberg's matrix mechanics is described in detail. The fundamental equations are derived by algebraic methods using matrix calculus. Only a brief description of Schrödinger's wave mechanics is given (in most books exclusively treated), to show their equivalence to Heisenberg's matrix method. In the first part the historical development of Quantum theory by Planck, Bohr and Sommerfeld is sketched, followed by the ideas and methods of Heisenberg, Born and Jordan. Then Pauli's spin and exclusion principles are treated. Pauli's exclusion principle leads to the structure of atoms. Finally, Dirac ́s relativistic quantum mechanics is shortly presented. Matrices and matrix equations are today easy to handle when implementing numerical algorithms using standard software as MAPLE and Mathematica.

Mathematical Topics Between Classical and Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 146121680X
Total Pages : 547 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Topics Between Classical and Quantum Mechanics by : Nicholas P. Landsman

Download or read book Mathematical Topics Between Classical and Quantum Mechanics written by Nicholas P. Landsman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.

Mathematical Foundations of Quantum Mechanics

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Publisher : Princeton University Press
ISBN 13 : 9780691028934
Total Pages : 462 pages
Book Rating : 4.0/5 (289 download)

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Book Synopsis Mathematical Foundations of Quantum Mechanics by : John von Neumann

Download or read book Mathematical Foundations of Quantum Mechanics written by John von Neumann and published by Princeton University Press. This book was released on 1955 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books

Continuum Mechanics using Mathematica®

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Publisher : Springer
ISBN 13 : 1493916041
Total Pages : 489 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Continuum Mechanics using Mathematica® by : Antonio Romano

Download or read book Continuum Mechanics using Mathematica® written by Antonio Romano and published by Springer. This book was released on 2014-10-14 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, mathematical physics and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

Mathematica for Theoretical Physics

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Author :
Publisher : Springer
ISBN 13 : 9780387501291
Total Pages : 0 pages
Book Rating : 4.5/5 (12 download)

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Book Synopsis Mathematica for Theoretical Physics by : Gerd Baumann

Download or read book Mathematica for Theoretical Physics written by Gerd Baumann and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

Introductory Quantum Mechanics

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Publisher : Springer
ISBN 13 : 3319685988
Total Pages : 637 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Introductory Quantum Mechanics by : Paul R. Berman

Download or read book Introductory Quantum Mechanics written by Paul R. Berman and published by Springer. This book was released on 2017-12-26 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a basic introduction to quantum mechanics. Depending on the choice of topics, it can be used for a one-semester or two-semester course. An attempt has been made to anticipate the conceptual problems students encounter when they first study quantum mechanics. Wherever possible, examples are given to illustrate the underlying physics associated with the mathematical equations of quantum mechanics. To this end, connections are made with corresponding phenomena in classical mechanics and electromagnetism. The problems at the end of each chapter are intended to help students master the course material and to explore more advanced topics. Many calculations exploit the extraordinary capabilities of computer programs such as Mathematica, MatLab, and Maple. Students are urged to use these programs, just as they had been urged to use calculators in the past. The treatment of various topics is rather complete, in that most steps in derivations are included. Several of the chapters go beyond what is traditionally covered in an introductory course. The goal of the presentation is to provide the students with a solid background in quantum mechanics.

Visual Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227709
Total Pages : 283 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Visual Quantum Mechanics by : Bernd Thaller

Download or read book Visual Quantum Mechanics written by Bernd Thaller and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Visual Quantum Mechanics" uses the computer-generated animations found on the accompanying material on Springer Extras to introduce, motivate, and illustrate the concepts explained in the book. While there are other books on the market that use Mathematica or Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner. There is no special emphasis on computational physics or requirement that the reader know a symbolic computation package. Despite the presentation of rather advanced topics, the book requires only calculus, making complicated results more comprehensible via visualization. The material on Springer Extras provides easy access to more than 300 digital movies, animated illustrations, and interactive pictures. This book along with its extra online materials forms a complete introductory course on spinless particles in one and two dimensions.